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vlabodo [156]
2 years ago
14

The volume of the polyhedron is ______ yd3.

Mathematics
1 answer:
DochEvi [55]2 years ago
4 0

Answer:

122,850 yd³

Step-by-step explanation:

The polyhedron is a right triangle prism

Area of the right triangle prism = ½*a*c*h

a = 91 yd

c = 60 yd

h = 45 yd

Volume = ½*91*60*45

= 122,850 yd³

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Which types of triangles can be formed by taking the cross-section of a rectangular prism like the one shown above?
Sonja [21]

Answer:

A.

Step-by-step explanation:

4 0
3 years ago
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A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the
ella [17]
For the answer to the question above, 

<span>the angle of 360 ° → π.d </span>

<span>the angle of x ° → 8π </span>


<span>You make the cross-multiply and you can get: </span>

<span>x * π.d = 8π * 360 </span>

<span>x * d = 8 * 360 </span>

<span>x = 8 * 360/d → where d = 2r </span>

<span>x = 8 * 360/2r </span>

<span>x = 4 * 360/r → where r = 4.5 cm </span>

<span>x = 4 * 360/4.5 </span>

<span>x = 320 °</span>
3 0
3 years ago
For which value of x is the row in the table of values incorrect? the function is the quadratic function y=-1/2x^2
liberstina [14]

Answer:

D. x = 5

Step-by-step explanation:

At x = 5

y = -½(5)²

y = -½ × 25 = -25/2 = -12½

8 0
3 years ago
The sum of 4 consecutive even integers is -12. find the largest integer.
Ipatiy [6.2K]

Answer:

The largest even integer is 0

Step-by-step explanation:

Given as :

The sum of four consecutive even number = - 12

Let The first even number = 2 x

The second even number = (2 x + 2)

The third even number = (2 x + 4)

The fourth even number = (2 x + 6)

<u>According to question</u>

sum of four consecutive even number = - 12

Or, 2 x + (2 x + 2) + (2 x + 4) + (2 x + 6) = - 12

Or, (2 x + 2 x + 2 x + 2 x) + (2 + 4 + 6) = - 12

Or, 8 x + 12 = - 12

Or, 8 x = - 12 - 12

Or, 8 x = - 24

∴  x = \frac{- 24}{8}

i.e  x = - 3

now, putting the value of x

The first even number = 2 × - 3 = - 6

The second even number = (2 × - 3 + 2) = - 6 + 2 = - 4

The third even number = (2 × - 3 + 4) = - 6 + 4 = - 2

The fourth even number = (2 × - 3 + 6) = - 6 + 6 = 0

So, The largest even integer = 0

Hence, The largest even integer is 0  Answer

6 0
3 years ago
What is 1/3 divide by 1/4?
irina1246 [14]

Answer:

1 1/3

Step-by-step explanation:

1/3 divided by 1/4 =

1/3 x 4/1 = 4/3

1 1/3

8 0
3 years ago
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